Topology optimization with geometric uncertainties by perturbation techniques

Boyan Stefanov Lazarov, M. Schevenels, Ole Sigmund

Research output: Contribution to journalJournal articleResearchpeer-review


The aim of this paper was to present a topology optimization methodology for obtaining robust designs insensitive to small uncertainties in the geometry. The variations are modeled using a stochastic field. The model can represent spatially varying geometry imperfections in devices produced by etching techniques. Because of under‐etching or over‐etching parts of the structure may become thinner or thicker than a reference design supplied to the manufacturer. The uncertainties are assumed to be small and their influence on the system response is evaluated using perturbation techniques. Under the above assumptions, the proposed algorithm provides a computationally cheap alternative to previously introduced stochastic optimization methods based on Monte Carlo sampling. The method is demonstrated on the design of a minimum compliance cantilever beam and a compliant mechanism. Copyright © 2012 John Wiley & Sons, Ltd.
Original languageEnglish
JournalInternational Journal for Numerical Methods in Engineering
Issue number11
Pages (from-to)1321-1336
Publication statusPublished - 2012


  • Topology opmization
  • Robust design
  • Geometric uncertainties
  • Manufacturing errors


Dive into the research topics of 'Topology optimization with geometric uncertainties by perturbation techniques'. Together they form a unique fingerprint.

Cite this